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Finding the Fourth Proportional to 268.99, 404.89 and 243.83

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Solution

The fourth proportional to 268.99, 404.89 and 243.83 is: 367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.99 : 404.89 = 243.83 : x
  2. Step 2: Convert to fraction form
    268.99/404.89 = 243.83/x
  3. Step 3: Cross multiply
    268.99x = 404.89 × 243.83
  4. Step 4: Simplify right side
    268.99x = 98,723.11
  5. Step 5: Solve for x
    x = 98,723.11/268.99
  6. Step 6: Final answer
    x = 367.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.